finite cardinality

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• Cardinality — In mathematics, the cardinality of a set is a measure of the number of elements of the set . For example, the set A = {1, 2, 3} contains 3 elements, and therefore A has a cardinality of 3. There are two approaches to cardinality ndash; one which… …   Wikipedia

• Finite set — In mathematics, a set is called finite if there is a bijection between the set and some set of the form {1, 2, ..., n} where n is a natural number. (The value n = 0 is allowed; that is, the empty set is finite.) An infinite set is a set which is… …   Wikipedia

• Cardinality of the continuum — In mathematics, the cardinality of the continuum, sometimes also called the power of the continuum, is the size (cardinality) of the set of real numbers mathbb R (sometimes called the continuum). The cardinality of mathbb R is often denoted by… …   Wikipedia

• Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia

• Hereditarily finite set — Nested set redirects here. Nested set may also refer to the Nested set model in relational databases …   Wikipedia

• Locally finite collection — In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. A collection of subsets of a topological space X… …   Wikipedia

• Special classes of semigroups — In mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying additional properties or conditions. Thus the class of commutative semigroups consists… …   Wikipedia

• Grothendieck universe — In mathematics, a Grothendieck universe is a set U with the following properties:# If x is an element of U and if y is an element of x , then y is also an element of U . ( U is a transitive set.) # If x and y are both elements of U , then { x , y …   Wikipedia

• Language identification in the limit — is a formal model for inductive inference. It was introduced by E. Mark Gold in his paper with the same title [http://www.isrl.uiuc.edu/ amag/langev/paper/gold67limit.html] . In this model, a learner is provided with presentation of some language …   Wikipedia

• Essentially unique — In mathematics, the term essentially unique is used to indicate that while some object is not the only one that satisfies certain properties, all such objects are the same in some sense appropriate to the circumstances. This notion of sameness is …   Wikipedia

• FC-group — In mathematics, in the field of group theory, an FC group is a group in which every conjugacy class of elements has finite cardinality.The following are some facts about FC groups:* Every finite group is an FC group * Every abelian group is an FC …   Wikipedia